We consider the type-II neuron model proposed by
[1]}. The individual dynamics of each Hodgkin-Huxley (HH) neuron in
the network is given by
\(C\dot{V_i} & = & I_i-g_{\rm K}n_i^4(V_i-E_{\rm K})\nonumber \\& & -g_{\rm Na}m_i^3h_i(V_i-E_{\rm Na})-g_L(V_i-E_{\rm L}) \nonumber \\& & +(V_{\rm r}^{\rm +}-V_i)\sum _{j=1}^{N}g_{ij} f_j(t-\tau _{ij}), \\\dot{n}_i & = & \alpha _{n_i}(v_i)(1-n_i)-\beta _{n_i}(v_i)n_i,\\\dot{m}_i & = & \alpha _{m_i}(v_i)(1-m_i)-\beta _{m_i}(v_i)m_i,\\\dot{h}_i & = & \alpha _{h_i}(v_i)(1-h_i)-\beta _{h_i}(v_i)h_i,\\\dot{f}_i & = & \frac{-f_i}{\tau _{\rm s}}.\) 
